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Finding the Fourth Proportional to 5,765.78, 8,652.89 and 3,690.87

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Solution

The fourth proportional to 5,765.78, 8,652.89 and 3,690.87 is: 5,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.78 : 8,652.89 = 3,690.87 : x
  2. Step 2: Convert to fraction form
    5,765.78/8,652.89 = 3,690.87/x
  3. Step 3: Cross multiply
    5,765.78x = 8,652.89 × 3,690.87
  4. Step 4: Simplify right side
    5,765.78x = 31,936,653.32
  5. Step 5: Solve for x
    x = 31,936,653.32/5,765.78
  6. Step 6: Final answer
    x = 5,539.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.